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单词 Map
释义

Map

A way of associating unique objects to every point in a given Set. So a map from is an object such that for every , there is a unique object . The terms Function and Mapping are synonymous with map.


The following table gives several common types of complex maps.

MappingFormulaDomain
Inversion
Magnification
Magnification+Rotation
Möbius Transformation
Rotation
Translation

See also 2x mod 1 Map, Arnold's Cat Map, Baker's Map, Boundary Map, Conformal Map,Function, Gauss Map, Gingerbreadman Map, Harmonic Map, Hénon Map,Identity Map, Inclusion Map, Kaplan-Yorke Map, Logistic Map, Mandelbrot Set, MapProjection, Pullback Map, Quadratic Map, Tangent Map, Tent Map, Transformation,Zaslavskii Map


References

Arfken, G. ``Mapping.'' §6.6 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 384-392, 1985.

Lee, X. ``Transformation of the Plane.''http://www.best.com/~xah/MathGraphicsGallery_dir/Transform2DPlot_dir/transform2DPlot.html.


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